Field Theoretic Aspects of Condensed Matter Physics: An Overview

TL;DR

This paper reviews how quantum field theory concepts have profoundly influenced condensed matter physics, enhancing understanding of phase transitions, topological phases, and dualities, and highlighting their growing importance in the field.

Contribution

It provides an overview of the integration of quantum field theory into condensed matter physics, emphasizing recent developments and conceptual advancements.

Findings

Quantum field theory has become central in understanding phase transitions.

The approach has elucidated topological phases of matter.

Dualities have provided new insights into condensed matter phenomena.

Abstract

In this chapter I discuss the impact of concepts of Quantum Field Theory in modern Condensed Physics. Although the interplay between these two areas is certainly not new, the impact and mutual cross-fertilization has certainly grown enormously with time, and Quantum Field Theory has become a central conceptual tool in Condensed Matter Physics. In this chapter I cover how these ideas and tools have influenced our understanding of phase transitions, both classical and quantum, as well as topological phases of matter, and dualities.